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A simplified L-curve method as error estimator by Kindermann, Stefan; Raik, Kemal is a scholarly article available to read on EtoBox.

What is A simplified L-curve method as error estimator about?

The L-curve method is a well-known heuristic method for choosing the regularization parameter for ill-posed problems by selecting it according to the maximal curvature of the L-curve. In this article, we propose a simplified version that replaces the curvature essentially by the derivative of the parameterization on the $y$-axis. This method shows a similar behaviour to the original L-curve method, but unlike the latter, it may serve as an error estimator under typical conditions. Thus, we can accordingly prove convergence for the simplified L-curve method.

Author

Kindermann, Stefan; Raik, Kemal

Published

2019

Language

EN